82320475884416 has 256 divisors, whose sum is σ = 204982882053120. Its totient is φ = 31991733043200.

The previous prime is 82320475884403. The next prime is 82320475884419. The reversal of 82320475884416 is 61448857402328.

It is a happy number.

It is a super-2 number, since 2×82320475884416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82320475884419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9347159885 + ... + 9347168691.

It is an arithmetic number, because the mean of its divisors is an integer number (800714383020).

Almost surely, 2^{82320475884416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82320475884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102491441026560).

82320475884416 is an abundant number, since it is smaller than the sum of its proper divisors (122662406168704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82320475884416 is a wasteful number, since it uses less digits than its factorization.

82320475884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 62.

The spelling of 82320475884416 in words is "eighty-two trillion, three hundred twenty billion, four hundred seventy-five million, eight hundred eighty-four thousand, four hundred sixteen".